What is the Greatest Common Factor of 38446 and 38458?

Greatest common factor (GCF) of 38446 and 38458 is 2.

GCF(38446,38458) = 2

We will now calculate the prime factors of 38446 and 38458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38446 and 38458.

How to find the GCF of 38446 and 38458?

We will first find the prime factorization of 38446 and 38458. After we will calculate the factors of 38446 and 38458 and find the biggest common factor number .

Step-1: Prime Factorization of 38446

Prime factors of 38446 are 2, 47, 409. Prime factorization of 38446 in exponential form is:

38446 = 2¹ × 47¹ × 409¹

Step-2: Prime Factorization of 38458

Prime factors of 38458 are 2, 7, 41, 67. Prime factorization of 38458 in exponential form is:

38458 = 2¹ × 7¹ × 41¹ × 67¹

Step-3: Factors of 38446

List of positive integer factors of 38446 that divides 38446 without a remainder.

1, 2, 47, 94, 409, 818, 19223

Step-4: Factors of 38458

List of positive integer factors of 38458 that divides 38446 without a remainder.

1, 2, 7, 14, 41, 67, 82, 134, 287, 469, 574, 938, 2747, 5494, 19229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38446 and 38458. The biggest common factor number is the GCF number.
So the greatest common factor 38446 and 38458 is 2.

Also check out the Least Common Multiple of 38446 and 38458